When a Young tableau is constructed using the so-called insertion algorithm, an element starts in some position on the first row, from which
it may later be bumped. In contrast, the elements that start out in the 
th column are said to belong to the 
th class (Skiena 1990, p. 73). Tableau classes may be
computed using TableauClasses[p]
in the Wolfram Language package Combinatorica`
.
Tableau Class
See also
Bumping Algorithm, Young TableauExplore with Wolfram|Alpha
References
Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.Referenced on Wolfram|Alpha
Tableau ClassCite this as:
Weisstein, Eric W. "Tableau Class." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TableauClass.html